Forcing in Łukasiewicz Predicate Logic

Studia Logica 89 (1):111 - 145 (2008)
In this paper we study the notion of forcing for Łukasiewicz predicate logic (Łᗄ, for short), along the lines of Robinson's forcing in classical model theory. We deal with both finite and infinite forcing. As regard to the former we prove a Generic Model Theorem for Łᗄ, while for the latter, we study the generic and existentially complete standard models of Łᗄ.
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    C. C. Chang (1967). Omitting Types of Prenex Formulas. Journal of Symbolic Logic 32 (1):61-74.

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